Table of contents

1. Introduction to Statistics53m
2. Describing Data with Tables and Graphs2h 1m
3. Describing Data Numerically1h 48m
4. Probability2h 26m
5. Binomial Distribution & Discrete Random Variables2h 55m
6. Normal Distribution & Continuous Random Variables1h 48m
7. Sampling Distributions & Confidence Intervals: Mean2h 8m
8. Sampling Distributions & Confidence Intervals: Proportion1h 20m
- Sampling Distribution of Sample Proportion
  35m
- Confidence Intervals for Population Proportion
  45m
9. Hypothesis Testing for One Sample2h 23m
10. Hypothesis Testing for Two Samples3h 25m
11. Correlation1h 6m
12. Regression1h 4m
13. Chi-Square Tests & Goodness of Fit1h 30m
14. ANOVA1h 4m

5. Binomial Distribution & Discrete Random Variables

Hypergeometric Distribution

Statistics for Business

5. Binomial Distribution & Discrete Random Variables

Hypergeometric Distribution

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Multiple Choice

A school is holding a fair raffle and a teacher is interested in predicting how many winners will be from her class. Determine which probability distribution she should use given the following information.
(B) There are 386 tickets, one for each student. Tickets are removed from the pool after being chosen and 5 tickets are drawn.

Binomial

Hypergeometric

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Verified step by step guidance

Step 1: Understand the problem setup. The teacher wants to predict the number of winners from her class. There are 386 tickets in total, and 5 tickets are drawn without replacement. This means the probability of selecting a ticket changes after each draw.

Step 2: Recall the key difference between the Binomial and Hypergeometric distributions. The Binomial distribution assumes that each trial is independent (e.g., drawing with replacement), while the Hypergeometric distribution is used when trials are dependent (e.g., drawing without replacement).

Step 3: Identify the characteristics of the problem. Since tickets are removed from the pool after being chosen, the draws are dependent, which aligns with the Hypergeometric distribution.

Step 4: Define the parameters of the Hypergeometric distribution. The distribution is characterized by three parameters: the population size (N = 386), the number of successes in the population (k, which would be the number of tickets belonging to the teacher's class), and the number of draws (n = 5).

Step 5: Conclude that the Hypergeometric distribution is the appropriate choice for this problem because the draws are dependent, and the probability of selecting a ticket changes after each draw.

5:15m

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Related Practice

Multiple Choice

A school is holding a fair raffle and a teacher is interested in predicting how many winners will be from her class. Determine which probability distribution she should use given the following information.

(A) There are 386 tickets, one for each student. Tickets are placed back in the pool after being chosen and 5 tickets are drawn.

Multiple Choice

Find the probability of drawing a hand of 5 cards from a standard deck that contains exactly 2 hearts.

Multiple Choice

(A) There are 386 tickets, one for each student. Tickets are placed back in the pool after being chosen and 5 tickets are drawn.

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